excess arc

简明释义

余弧

英英释义

例句

1.During the simulation, the excess arc 过度弧形 caused unexpected turbulence in the airflow.

在模拟过程中，excess arc 过度弧形导致气流出现意外的湍流。

2.The architect warned that an excess arc 过度弧形 in the roof design could lead to water pooling.

建筑师警告说，屋顶设计中的excess arc 过度弧形可能导致积水。

3.To improve efficiency, we need to minimize the excess arc 过度弧形 in our piping layout.

为了提高效率，我们需要最小化管道布局中的excess arc 过度弧形。

4.The artist decided to adjust the excess arc 过度弧形 in her sculpture to achieve a more balanced look.

艺术家决定调整她雕塑中的excess arc 过度弧形以达到更平衡的外观。

5.The engineer noted that the excess arc 过度弧形 in the design could lead to structural weaknesses.

工程师指出，设计中的excess arc 过度弧形可能导致结构弱点。

作文

In the realm of geometry and mathematics, the concept of an arc is fundamental. An arc is a portion of the circumference of a circle, defined by two endpoints on the circle's perimeter. However, when we delve deeper into the properties of arcs, we encounter the term excess arc, which refers to the length of an arc that exceeds a certain value or measurement. This idea can be particularly useful in various applications, including engineering, architecture, and even art. Understanding the excess arc requires a basic grasp of circular geometry. When we have a circle with a defined radius, the total circumference can be calculated using the formula C = 2πr, where r is the radius. This circumference represents the complete distance around the circle. Now, if we take a segment of this circle, the arc length can be determined by the angle it subtends at the center of the circle. The formula for calculating the arc length is given by L = (θ/360) × C, where θ is the angle in degrees. The term excess arc often comes into play when we are dealing with arcs that surpass a specific length or angle. For example, in designing a bridge, engineers may need to calculate the excess arc to ensure that the structure can accommodate the necessary load while maintaining aesthetic appeal. If the arc of the bridge is too long, it could lead to structural weaknesses or aesthetic imbalances. Therefore, understanding the excess arc helps in making informed decisions about design and functionality. Moreover, in the field of art, the idea of excess arc can also be applied. Artists often use arcs in their work to create curves and shapes that draw the viewer's eye. When an artist intentionally incorporates an excess arc into their design, it can evoke emotions or convey movement within a piece. This technique can be seen in various art forms, from sculpture to painting, where the curvature and flow of lines play a crucial role in the overall composition. In mathematics, the study of excess arc can extend to calculus, where we analyze the properties of curves and their lengths. By understanding how to calculate the excess arc, mathematicians can solve complex problems involving circular motion and other related concepts. This knowledge is not only theoretical but also has practical implications in fields such as physics and engineering. In conclusion, the term excess arc encompasses a variety of meanings across different disciplines. Whether in geometry, engineering, art, or mathematics, understanding the excess arc allows individuals to appreciate the beauty and complexity of circular shapes and their applications. By mastering this concept, one can enhance their skills in design, analysis, and creative expression. Thus, the excess arc serves as a bridge between theory and practice, linking mathematical principles with real-world applications.

在几何和数学领域，弧的概念是基础。弧是圆周的一部分，由圆周上的两个端点定义。然而，当我们深入研究弧的性质时，我们会遇到术语excess arc，它指的是超出某个值或测量的弧的长度。这个概念在工程、建筑甚至艺术等各种应用中都特别有用。理解excess arc需要对圆形几何有基本的了解。当我们有一个定义半径的圆时，可以使用公式C = 2πr计算总周长，其中r是半径。这个周长代表了圆周围的完整距离。现在，如果我们取这个圆的一段，弧长可以通过它在圆心处所夹的角度来确定。计算弧长的公式为L = (θ/360) × C，其中θ是以度为单位的角度。术语excess arc通常在处理超过特定长度或角度的弧时出现。例如，在设计桥梁时，工程师可能需要计算excess arc以确保结构能够承受必要的负载，同时保持美学吸引力。如果桥的弧线太长，可能导致结构弱点或美学失衡。因此，理解excess arc有助于做出关于设计和功能的明智决策。此外，在艺术领域，excess arc的概念也可以被应用。艺术家经常在他们的作品中使用弧来创建曲线和形状，以吸引观众的眼球。当艺术家故意在他们的设计中融入excess arc时，它可以唤起情感或传达作品中的运动。这种技巧可以在各种艺术形式中看到，从雕塑到绘画，其中线条的曲率和流动在整体构图中发挥着至关重要的作用。在数学中，excess arc的研究可以扩展到微积分，在这里我们分析曲线及其长度的性质。通过理解如何计算excess arc，数学家可以解决涉及圆周运动和其他相关概念的复杂问题。这一知识不仅是理论性的，而且在物理和工程等领域具有实际意义。总之，术语excess arc在不同学科中涵盖了多种含义。无论是在几何、工程、艺术还是数学中，理解excess arc使个人能够欣赏圆形形状及其应用的美丽和复杂性。通过掌握这一概念，人们可以增强设计、分析和创造表达的技能。因此，excess arc作为理论与实践之间的桥梁，连接了数学原理与现实世界的应用。